EA Standards

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HIGH SCHOOL CORE AREA

Elementary Algebra

The mathematical processes provide the framework for teaching, learning, and assessing in all high

school mathematics core courses. Instructional programs should be built around these processes.

Standard EA-1: The student will understand and utilize the mathematical processes of problemsolving, reasoning and proof, communication, connections, and

representation.

Indicators

EA-1.1 Communicate a knowledge of algebraic relationships by using mathematical

terminology appropriately.

EA-1.2 Connect algebra with other branches of mathematics.EA-1.3 Apply algebraic methods to solve problems in real-world contexts.EA-1.4 Judge the reasonableness of mathematical solutions.

EA-1.5 Demonstrate an understanding of algebraic relationships by using a variety of

representations(including verbal, graphic, numerical, and symbolic).EA-1.6 Understand how algebraic relationships can be represented in concrete models,

pictorial models, and diagrams.

EA-1.7 Understand how to represent algebraic relationships by using tools such as handheldcomputing devices, spreadsheets, and computer algebra systems (CASs).


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Elementary Algebra

Standard EA-2: The student will demonstrate through the mathematical processes anunderstanding of the real number system and operations involving

exponents, matrices, and algebraic expressions.

Indicators

EA-2.1 Exemplify elements of the real number system (including integers, rational numbers,

and irrational numbers).

EA-2.2 Apply the laws of exponents and roots to solve problems.EA-2.3 Carry out a procedure to perform operations (including multiplication and division)

with numbers written in scientific notation.

EA-2.4 Use dimensional analysis to convert units of measure within a system.EA-2.5 Carry out a procedure using the properties of real numbers (including commutative,

associative, and distributive) to simplify expressions.

EA-2.6 Carry out a procedure to evaluate an expression by substituting a value for the

variable.EA-2.7 Carry out a procedure (including addition, subtraction, multiplication, and division by

a monomial) to simplify polynomial expressions.

EA-2.8 Carry out a procedure to factor binomials, trinomials, and polynomials by usingvarious techniques (including the greatest common factor, the difference between two

squares, and quadratic trinomials).

EA-2.9 Carry out a procedure to perform operations with matrices (including addition,subtraction, and scalar multiplication).

EA-2.10 Represent applied problems by using matrices.


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Elementary Algebra

Standard EA-3: The student will demonstrate through the mathematical processes anunderstanding of relationships and functions.

Indicators

EA-3.1 Classify a relationship as being either a function or not a function when given data as atable, set of ordered pairs, or graph.

EA-3.2 Use function notation to represent functional relationships.

EA-3.3 Carry out a procedure to evaluate a function for a given element in the domain.EA-3.4 Analyze the graph of a continuous function to determine the domain and range of the

function.

EA-3.5 Carry out a procedure to graph parent functions (including

xyxyxyxyxy

1and,,,,

2===== ).

EA-3.6 Classify a variation as either direct or inverse.

EA-3.7 Carry out a procedure to solve literal equations for a specified variable.EA-3.8 Applyproportional reasoning to solve problems.


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Elementary Algebra

Standard EA-4: The student will demonstrate through the mathematical processes anunderstanding of the procedures for writing and solving linear equations and

inequalities.

Indicators

EA-4.1 Carry out a procedure to write an equation of a line with a given slope and ay-

intercept.

EA-4.2 Carry out a procedure to write an equation of a line with a given slope passing througha given point.

EA-4.3 Carry out a procedure to write an equation of a line passing through two given points.

EA-4.4 Use a procedure to write an equation of a trend line from a given scatterplot.

EA-4.5 Analyze a scatterplot to make predictions.EA-4.6 Represent linear equations in multiple forms (including point-slope, slope-intercept,

and standard).

EA-4.7 Carry out procedures to solve linear equations for one variable algebraically.EA-4.8 Carry out procedures to solve linear inequalities for one variable algebraically and

then to graph the solution.

EA-4.9 Carry out a procedure to solve systems of two linear equations graphically.EA-4.10 Carry out a procedure to solve systems of two linear equations algebraically.


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Elementary Algebra

Standard EA-6: The student will demonstrate through the mathematical processes anunderstanding of quadratic relationships and functions.

Indicators

EA-6.1 Analyze the effects of changing the leading coefficient a on the graph of 2axy = .

EA-6.2 Analyze the effects of changing the constant c on the graph of

y=x2+ .

EA-6.3 Analyze the graph of a quadratic function to determine its equation.

EA-6.4 Carry out a procedure to solve quadratic equations by factoring.EA-6.5 Carry out a graphic procedure to approximate the solutions of quadratic equations.

EA-6.6 Analyze given information to determine the domain of a quadratic function in a

problem situation.


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Documents

EA Standards